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800143008 = 253710111789
BaseRepresentation
bin101111101100010…
…011011010100000
32001202121110212020
4233230103122200
53114314034013
6211221501440
725554050310
oct5754233240
92052543766
10800143008
11380729315
121a3b71880
13c9a03002
14783a5440
154a3a4623
hex2fb136a0

800143008 has 96 divisors (see below), whose sum is σ = 2424401280. Its totient is φ = 226329600.

The previous prime is 800142997. The next prime is 800143013. The reversal of 800143008 is 800341008.

800143008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×8001430083 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61978 + ... + 73766.

It is an arithmetic number, because the mean of its divisors is an integer number (25254180).

Almost surely, 2800143008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800143008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212200640).

800143008 is an abundant number, since it is smaller than the sum of its proper divisors (1624258272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

800143008 is a wasteful number, since it uses less digits than its factorization.

800143008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11910 (or 11902 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 800143008 is about 28286.7991826576. The cubic root of 800143008 is about 928.3730787882.

The spelling of 800143008 in words is "eight hundred million, one hundred forty-three thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 101 112 168 202 224 303 336 404 606 672 707 808 1212 1414 1616 2121 2424 2828 3232 4242 4848 5656 8484 9696 11312 11789 16968 22624 23578 33936 35367 47156 67872 70734 82523 94312 141468 165046 188624 247569 282936 330092 377248 495138 565872 660184 990276 1131744 1190689 1320368 1980552 2381378 2640736 3572067 3961104 4762756 7144134 7922208 8334823 9525512 14288268 16669646 19051024 25004469 28576536 33339292 38102048 50008938 57153072 66678584 100017876 114306144 133357168 200035752 266714336 400071504 800143008